9300320964864 has 360 divisors, whose sum is σ = 28589616133848. Its totient is φ = 3005187194880.

The previous prime is 9300320964827. The next prime is 9300320964929. The reversal of 9300320964864 is 4684690230039.

9300320964864 is a `hidden beast` number, since 9 + 300 + 320 + 9 + 6 + 4 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1084530622464 + 8215790342400 = 1041408^2 + 2866320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9300320964864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133442794 + ... + 133512470.

Almost surely, 2^{9300320964864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9300320964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294808066924).

9300320964864 is an abundant number, since it is smaller than the sum of its proper divisors (19289295168984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9300320964864 is a wasteful number, since it uses less digits than its factorization.

9300320964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69903 (or 69880 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 9300320964864 in words is "nine trillion, three hundred billion, three hundred twenty million, nine hundred sixty-four thousand, eight hundred sixty-four".